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This question relates to the deformation of beams. A fixed-free cantilever beam, (Young's Modulus E, bx h cross-section, length L) is supported at its left-hand end. A Force F is applied at a distance a from the left-hand end. Using the data provided in the personalised spreadsheet, you should investigate the following problems. a) Calculate the shape of the deflected beam defined by your personal data. Provide a graph of the deflected beam using MATLAB. Include a plot for shear and bending moment diagrams. b) Generate a 2D contour map of the stress distribution along the beam. c) Repeat the calculation of parts (a and b), this time with a prop supporting the beam as described in the personal data at a distance p from the left-hand end of the beam. What is the force acting on the prop? Make sure to include contour plot, shear and bending diagram for probed beam. d) Considering yield stress of 250 MPa, determine the safety factor using the Von-Mises criterion. Plot the Mohr's circle and fa criteria using MATLAB. (only consider bending stress). Compare and discuss your results for a beam with and without a prop. Given Date:- 2 (mm) = 1000 mm 50mm 160 mm 2 200 G Pa 950mm. 35KN 450 mm width of the section. he height of the section. عود E 12 ото a 2 where, N